A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Solve these inequalities. (ii) 3^x +5 bigger or equal to 32 Please help! I don't know how to solve this though I a aware it involves logarithms. Please show me what to do and explain why.

  • This Question is Closed
  1. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\huge\rm 3^x +5 \ge 32\] yes right you have to take log both sides but first move `5` to the right side and then take log

  2. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    make sense ?

  3. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So It would be \[3^{x} \ge 17\] ? How do I take log of both sides?

  4. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    17 ?? i guess thats a typo

  5. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Um no actually. What did I do wrong?

  6. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    how did you get 17 ?

  7. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I subtracted 5 from both sides?

  8. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes right so 32-5 isn't equal to 17 :=)

  9. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ooooh. I do mistakes like that often. Oops!

  10. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok so after \[3^{x} \ge 27\] how do I take log of both sides?

  11. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes right now take log both sides and apply the product rule \[\huge\rm log (3)^x \ge \log(27)\]

  12. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    power rule ***

  13. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ok I am new too logarithms so sorry for taking so much time. If you use the power rule does that mean that I move the exponent x in front of the first logarithm?

  14. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes right :=) and its okay take ur time!

  15. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Thanks! All right so, \[x \log_{}3 \ge \log27\]

  16. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes right now to solve for x you should move log(3) to the right side :=) and then use calculator :P that's it!

  17. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ok, thank you so much! :D

  18. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    what did you get ?? o.O

  19. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    x\[x \ge 3\]

  20. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes right!

  21. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    good job!

  22. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Hooray!

  23. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.